Breuken delen (reeks 1)

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Deel de breuken

1. \(\frac{8}{11} : \frac{11}{14}\)
2. \(\frac{9}{7} : \frac{11}{3}\)
3. \(\frac{11}{4} : \frac{6}{15}\)
4. \(\frac{8}{6} : \frac{4}{7}\)
5. \(\frac{11}{7} : \frac{11}{8}\)
6. \(\frac{7}{8} : \frac{12}{6}\)
7. \(\frac{7}{11} : \frac{2}{15}\)
8. \(\frac{7}{7} : \frac{11}{2}\)
9. \(\frac{8}{6} : \frac{6}{8}\)
10. \(\frac{12}{15} : \frac{2}{6}\)
11. \(\frac{11}{12} : \frac{10}{14}\)
12. \(\frac{12}{9} : \frac{2}{7}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{8}{11} : \frac{11}{14}\\=\frac{8}{11} . \frac{14}{11}\\=\frac{8.14}{11.11}\\=\frac{112}{121}\)
2. \(\frac{9}{7} : \frac{11}{3}\\=\frac{9}{7} . \frac{3}{11}\\=\frac{9.3}{7.11}\\=\frac{27}{77}\)
3. \(\frac{11}{4} : \frac{6}{15}\\=\frac{11}{4} : \frac{2}{5}\\=\frac{11}{4} . \frac{5}{2}\\=\frac{11.5}{4.2}\\=\frac{55}{8}\)
4. \(\frac{8}{6} : \frac{4}{7}\\=\frac{4}{3} : \frac{4}{7}\\=\frac{4}{3} . \frac{7}{4}\\=\frac{4.7}{3.4}\\=\frac{28}{12}\\=\frac{7}{3}\)
5. \(\frac{11}{7} : \frac{11}{8}\\=\frac{11}{7} . \frac{8}{11}\\=\frac{11.8}{7.11}\\=\frac{88}{77}\\=\frac{8}{7}\)
6. \(\frac{7}{8} : \frac{12}{6}\\=\frac{7}{8} : \frac{2}{1}\\=\frac{7}{8} . \frac{1}{2}\\=\frac{7.1}{8.2}\\=\frac{7}{16}\)
7. \(\frac{7}{11} : \frac{2}{15}\\=\frac{7}{11} . \frac{15}{2}\\=\frac{7.15}{11.2}\\=\frac{105}{22}\)
8. \(\frac{7}{7} : \frac{11}{2}\\=\frac{1}{1} : \frac{11}{2}\\=\frac{1}{1} . \frac{2}{11}\\=\frac{1.2}{1.11}\\=\frac{2}{11}\)
9. \(\frac{8}{6} : \frac{6}{8}\\=\frac{4}{3} : \frac{3}{4}\\=\frac{4}{3} . \frac{4}{3}\\=\frac{4.4}{3.3}\\=\frac{16}{9}\)
10. \(\frac{12}{15} : \frac{2}{6}\\=\frac{4}{5} : \frac{1}{3}\\=\frac{4}{5} . \frac{3}{1}\\=\frac{4.3}{5.1}\\=\frac{12}{5}\)
11. \(\frac{11}{12} : \frac{10}{14}\\=\frac{11}{12} : \frac{5}{7}\\=\frac{11}{12} . \frac{7}{5}\\=\frac{11.7}{12.5}\\=\frac{77}{60}\)
12. \(\frac{12}{9} : \frac{2}{7}\\=\frac{4}{3} : \frac{2}{7}\\=\frac{4}{3} . \frac{7}{2}\\=\frac{4.7}{3.2}\\=\frac{28}{6}\\=\frac{14}{3}\)